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Density. Notes. What is density?. Density is a comparison of how much matter there is in a certain amount of space . (how compact matter is) Mass : how much matter makes up an object Volume : how much matter can fit in a place. Which one is more dense?. Demonstration: People in a square
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Density Notes
What is density? • Density is a comparison of how much matter there is in a certain amount of space. (how compact matter is) • Mass: how much matter makes up an object • Volume: how much matter can fit in a place
Which one is more dense? • Demonstration: People in a square • How about this: Which square is more dense? A B
Which one is more dense? • Now which one is more dense? B A
Equations? • Density = mass OR mass ÷ volume. volume • Units for density: g cm3 • Why is this the unit for density? unit for mass divided by unit for volume ALWAYS REMEMBER UNITS!
Sample 1: (Easy) Frank has a paper clip. It has a mass of 9g and a volume of 3cm3. What is its density? Step 1. Write the formula D = M V Step 2: Substitute in what you know. D = 9 g 3 cm3
Step 3: Solve for unknown variable. Step 4: Label your answer D = 9 g 3 cm3 = 3 g/cm3 D = 3g/cm3
Sample Problem #2 (Medium) You have a sample of plastic whose density is 0.78 g/cm3 and has a volume of 4 cm3. What is the mass of the plastic? • Step 1. Write the formula D = M V Step 2: Substitute in what you know. 0.78 g/cm3 = M 4 cm3
Step 3: Solve for unknown variable. Step 4: Labeled answer Mass = 3.12 g 4 cm3 x 0.78 g/cm3 = M 4 cm3 x 4 cm3 4 x 0.78 g = M 3.12 g = M
Sample Problem #3 (Hard) You have a sample of silver whose density is 10.5 g/cm3, and the mass of your silver is 3 g. What is the volume of the silver? • Step 1. Write the formula D = M V Step 2: Substitute in what you know 10.5 g/cm3 = 3 g V
Step 3: Solve for unknown variable. V x x V 10.5 g/cm3 = 3 g V V x 10.5 g/cm3 = 3 g 10.5 g/cm3 10.5 g/cm3 V = 3 10.5 cm3 = 0.29 cm3 • Step 4: Labeled answer • Volume = 0.29 cm3
Liquid Layers • If you pour together liquids that don’t mix and have different densities, they will form liquid layers. • The liquid with the highest density will be on the bottom. • The liquid with the lowest density will be on the top. • Video
Liquid Layers…. • Check out this picture from your book. Which layer has the highest density? • Which layer has the lowest density? • Imagine that the liquids have the following densities: • 10g/cm3. 3g/cm3. • 6g/cm3. 5g/cm3. • Which number would go with which layer?
Liquid Layers – Try with your neighbor • Which liquid has the highest density? • Which liquid has the lowest density? • Which liquid has the middle density?
Liquid Layers – Try on your own! • Imagine that the liquids on the right have the following densities: • 15g/cm3 10g/cm3 • 3g/cm3 9g/cm3 • 7g/cm3 12g/cm3 • Match the colors to the correct densities. 3g/cm3 7g/cm3 9g/cm3 10g/cm3 12g/cm3 15g/cm3
Review • What is the formula for density? • What happens if you pour together liquids that have different densities? • Will the liquid on the top have the highest or lowest density? • Will the liquid on the bottom have the highest or lowest density?
Super Scientist Question of the Day • Jake has a book, a ruler, and a balance. • How can Jake find the density of the book with the tools he has?